Proportional Relationships (tables, constants, equations)

Front

What is a proportional relationship?

Back

A proportional relationship is a relationship between two quantities where the ratio of one quantity to the other is constant.

Front

What does the constant of proportionality represent?

Back

The constant of proportionality represents the factor by which one quantity is multiplied to obtain the other in a proportional relationship.

Front

In the equation y = kx, what does k represent?

Back

k represents the constant of proportionality.

Front

Which equation is proportional: y = 3x or y = 3x + 2?

Back

y = 3x is proportional; y = 3x + 2 is not.

Front

How can you identify a proportional relationship from a table?

Back

A proportional relationship can be identified if the ratios of corresponding values are constant.

Front

What is the constant of proportionality in the equation y = 5x?

Back

The constant of proportionality is 5.

Front

If y = 1/4x, what is the constant of proportionality?

Back

The constant of proportionality is 1/4.

Front

Is the relationship in the table (1,2), (2,4), (3,6) proportional?

Back

Yes, the relationship is proportional because the ratio is constant (2:1).

Front

What is the equation of a proportional relationship if the constant of proportionality is 7?

Back

The equation is y = 7x.

Front

If the constant of proportionality is 10, what is y when x = 3?

Back

y = 10 * 3 = 30.